EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Which of the following is a decimal fraction?
(i)
20
1
2
(ii)
16
11
(iii)
7
1
18
(iv)
5
7
(v)
8
10000
Question
2
2.
Find the number of prime factors of
22
(i)
3
(ii)
2
(iii)
0
(iv)
4
(v)
1
Question
3
3.
If
x
=
y
2
(
y
−
1
)
, then
log
(
x
−
y
)
=
(i)
log
x
log
y
(ii)
log
x
−
log
y
(iii)
log
x
+
log
y
(iv)
log
x
log
y
Question
4
4.
log
7
+
log
8
=
(i)
log
55
(ii)
log
56
2
(iii)
log
56
(iv)
log
54
(v)
log
59
Question
5
5.
The base exponent form of
log
2
8
=
3
is
(i)
3
2
=
8
(ii)
2
2
=
8
(iii)
2
4
=
8
(iv)
2
3
=
8
(v)
5
3
=
8
Question
6
6.
Which of the following fractions converts to a terminating decimal?
(i)
2002
100
(ii)
116
9
(iii)
341
162
(iv)
341
360
(v)
341
18
Question
7
7.
Find the number of prime factors of
15120
(i)
4
(ii)
2
(iii)
5
(iv)
3
(v)
7
Question
8
8.
Find the exponential notation of
-15
✕
-15
✕
-15
✕
-15
(i)
(-12)
4
(ii)
(-17)
4
(iii)
(-15)
3
(iv)
(-15)
5
(v)
(-15)
4
Question
9
9.
log
1
2
+
log
3
5
=
(i)
log
1
2
(ii)
log
3
10
(iii)
log
1
10
(iv)
log
3
8
(v)
log
2
(
3
10
)
Question
10
10.
The multiplicative inverse of
(
-8
3
)
is
(i)
(
-3
8
)
(ii)
(
-1
3
8
)
(iii)
5
8
(iv)
(
-2
3
8
)
(v)
1
5
8
Question
11
11.
Simplify the expression
6
(
5
2
)
✕
3
(
5
2
)
✕
(
5/4
)
(
5
2
)
(i)
(
41/4
)
(
3
2
)
(ii)
(
41/4
)
(
7
2
)
(iii)
(
41/4
)
(
5
2
)
(iv)
(
61/6
)
(
5
2
)
(v)
(
21/2
)
(
5
2
)
Question
12
12.
log
2401
343
=
(i)
2.75
(ii)
1.75
(iii)
7.75
(iv)
0.75
(v)
8.75
Question
13
13.
log
23.7900
+
log
58.1200
=
(i)
log
1384.6748
(ii)
log
1381.6748
(iii)
log
1380.6748
(iv)
log
1383.6748
(v)
log
1382.6748
Question
14
14.
Find the exponential notation of
9
2
✕
9
2
✕
9
2
✕
9
2
✕
9
2
✕
9
2
✕
9
2
✕
9
2
(i)
9
(
9
2
)
(ii)
7
(
9
2
)
(iii)
8
(
11
2
)
(iv)
8
(
9
2
)
(v)
8
(
7
2
)
Question
15
15.
Express
6987
10000
as a decimal correct to 4 decimal places
(i)
0.4987
(ii)
0.0699
(iii)
0.7987
(iv)
6.987
(v)
0.6987
Question
16
16.
log
1
17
+
log
5
13
=
(i)
log
2
(
5
221
)
(ii)
log
7
221
(iii)
log
5
219
(iv)
log
3
221
(v)
log
5
221
Question
17
17.
Simplify the expression
(-4)
5
✕
(-4)
5
(i)
(-4)
11
(ii)
(-7)
10
(iii)
(-4)
9
(iv)
(-2)
10
(v)
(-4)
10
Question
18
18.
Express
log
√
p
2
q
2
in terms of
log
p
and
log
q
(i)
log
q
−
log
p
(ii)
log
p
+
log
q
(iii)
log
p
log
q
(iv)
log
p
−
log
q
Question
19
19.
log
19.4400
−
log
31.2200
=
(i)
log
7.6227
(ii)
log
8.6227
(iii)
log
2.6227
(iv)
log
0.6227
(v)
log
1.6227
Question
20
20.
Find the LCM of
{15,14,9}
(i)
630
(ii)
629
(iii)
627
(iv)
631
(v)
632
Question
21
21.
Find the HCF of
{25,40}
(i)
3
(ii)
4
(iii)
6
(iv)
8
(v)
5
Question
22
22.
Simplify the expression
(
-5
7
)
5
✕
(
-7
6
)
5
(i)
(
-79
42
)
3
(ii)
(
-77
40
)
5
(iii)
(
-79
42
)
5
(iv)
(
-79
42
)
7
(v)
(
-81
44
)
5
Question
23
23.
5.7 =
(i)
570
(ii)
57
10
(iii)
57
100
(iv)
57
1000
(v)
57
Question
24
24.
log
4096
32768
=
(i)
0.25
(ii)
3.25
(iii)
1.25
(iv)
9.25
(v)
2.25
Question
25
25.
log
6
6
62
9
=
(i)
9
log
62
✕
6
log
6
(ii)
9
log
62
÷
6
log
6
(iii)
6
log
6
÷
9
log
62
(iv)
9
log
62
−
6
log
6
(v)
9
log
62
+
6
log
6
Assignment Key
1) (v)
2) (ii)
3) (ii)
4) (iii)
5) (iv)
6) (i)
7) (i)
8) (v)
9) (ii)
10) (i)
11) (iii)
12) (iv)
13) (v)
14) (iv)
15) (v)
16) (v)
17) (v)
18) (iv)
19) (iv)
20) (i)
21) (v)
22) (iii)
23) (ii)
24) (iii)
25) (ii)
